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222012012100 = 22525573985853
BaseRepresentation
bin1100111011000011110…
…0100111011001000100
3210020001101202202110211
43032300330213121010
512114140033341400
6245554011525204
722016443652254
oct3166074473104
9706041682424
10222012012100
1186177aa173a
123703b459804
1317c217b87c8
14aa616ab964
155b95b76dba
hex33b0f27644

222012012100 has 36 divisors (see below), whose sum is σ = 482631117444. Its totient is φ = 88645348480.

The previous prime is 222012012097. The next prime is 222012012109. The reversal of 222012012100 is 1210210222.

It is a happy number.

222012012100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 86870488644 + 135141523456 = 294738^2 + 367616^2 .

It is not an unprimeable number, because it can be changed into a prime (222012012109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1937227 + ... + 2048626.

It is an arithmetic number, because the mean of its divisors is an integer number (13406419929).

Almost surely, 2222012012100 is an apocalyptic number.

222012012100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

222012012100 is an abundant number, since it is smaller than the sum of its proper divisors (260619105344).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

222012012100 is a wasteful number, since it uses less digits than its factorization.

222012012100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3986424 (or 3986417 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 222012012100 its reverse (1210210222), we get a palindrome (223222222322).

The spelling of 222012012100 in words is "two hundred twenty-two billion, twelve million, twelve thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 557 1114 2228 2785 5570 11140 13925 27850 55700 3985853 7971706 15943412 19929265 39858530 79717060 99646325 199292650 398585300 2220120121 4440240242 8880480484 11100600605 22201201210 44402402420 55503003025 111006006050 222012012100